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To find the height of a pole, a surveyor moves 140 feet away from the base of the pole and then, with a transit 4 feet tall, measures the angle of elevation to the top of the pole to be 44°. To the nearest foot, what is the height of the pole? Please show your solution.

Respuesta :

H = height of the pole = ?

BC = ED = height of the transit = 4 ft

CD = BE = distance moved away from the base of the pole = 140 ft

Consider the ΔABE

tan44 = AE/BE

tan44 = h/140

h = 140 tan44

h = 135.2 ft

H = height of pole = AE + ED = h + ED = 135.2 + 4

H = 139.2 ft

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From the question, the height of the pole calculated is 139 feet to the nearest feet.

What is the angle of elevation?

The term angle of elevation is the angle between the base of the pole and the ground measured some distance from the base.

Where;

h is the height of the pole above the transit.

tan44 = h/140

h = 140 tan 44

h = 135 feet

Height of the pole = 135 feet + 4 feet = 139 feet.

Learn more about angle of elevation:https://brainly.com/question/21137209

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